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Finding the Fourth Proportional to 8,272.96, 12,409.44 and 2,429.60

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Solution

The fourth proportional to 8,272.96, 12,409.44 and 2,429.60 is: 3,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.96 : 12,409.44 = 2,429.60 : x
  2. Step 2: Convert to fraction form
    8,272.96/12,409.44 = 2,429.60/x
  3. Step 3: Cross multiply
    8,272.96x = 12,409.44 × 2,429.60
  4. Step 4: Simplify right side
    8,272.96x = 30,149,975.42
  5. Step 5: Solve for x
    x = 30,149,975.42/8,272.96
  6. Step 6: Final answer
    x = 3,644.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.